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Finding the Third Proportional to 35,538.75 and 76,619.25

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Solution

The third proportional to 35,538.75 and 76,619.25 is: 165,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,538.75 : 76,619.25 = 76,619.25 : x
  2. Step 2: Convert to fraction form
    35,538.75/76,619.25 = 76,619.25/x
  3. Step 3: Cross multiply
    35,538.75x = 76,619.25 × 76,619.25
  4. Step 4: Simplify right side
    35,538.75x = 5,870,509,470.56
  5. Step 5: Solve for x
    x = 5,870,509,470.56/35,538.75
  6. Step 6: Final answer
    x = 165,186.16

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.